3123211122312 has 64 divisors (see below), whose sum is σ = 7999215255360. Its totient is φ = 1015583462400.

The previous prime is 3123211122301. The next prime is 3123211122331. The reversal of 3123211122312 is 2132211123213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10792387 + ... + 11077997.

It is an arithmetic number, because the mean of its divisors is an integer number (124987738365).

Almost surely, 2^{3123211122312} is an apocalyptic number.

It is an amenable number.

3123211122312 is an abundant number, since it is smaller than the sum of its proper divisors (4876004133048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3123211122312 is a wasteful number, since it uses less digits than its factorization.

3123211122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296774 (or 296770 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 3123211122312 its reverse (2132211123213), we get a palindrome (5255422245525).

Subtracting from 3123211122312 its reverse (2132211123213), we obtain a palindrome (990999999099).

The spelling of 3123211122312 in words is "three trillion, one hundred twenty-three billion, two hundred eleven million, one hundred twenty-two thousand, three hundred twelve".